CN108767849B - Power system operation scheduling method considering atmospheric environment quality constraint - Google Patents
Power system operation scheduling method considering atmospheric environment quality constraint Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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- G06Q10/063—Operations research, analysis or management
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
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- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
Abstract
The invention discloses a power system operation scheduling method considering atmospheric environment quality constraint. In order to meet the concentration limit requirements of different pollutant items in the national environmental air quality standard, the invention provides the atmospheric environmental quality constraint based on the concentration of the coal-fired pollutant, and further constructs the power system operation scheduling method considering the atmospheric environmental quality constraint. The invention can effectively improve the atmospheric environmental pollution caused by power supply, thereby realizing the synergistic development of power energy and ecological environment.
Description
Technical Field
The invention belongs to the field of power system operation scheduling, and particularly relates to a power system operation scheduling method considering atmospheric environment quality constraints.
Background
In recent years, the atmospheric environmental pollution situation in China is severe, and the regional atmospheric environmental problem taking the inhalable particulate matter PM10 and the fine particulate matter PM2.5 as characteristic pollutants is increasingly prominent. Severe haze weather appears in a plurality of areas in China successively, large-scale, long-time and high-concentration atmospheric pollution causes serious damage to human health, ecological environment and traffic safety, and sustainable development of human society is influenced. A large number of researches show that an energy consumption structure mainly based on fossil energy is the root cause for causing modern haze pollution, wherein sulfur dioxide, nitrogen oxide, dust and the like generated by burning coal are one of main physical basic sources of air pollution, the contribution degree to national PM2.5 annual average concentration is about 50-60%, and the atmospheric environment quality of China is greatly influenced.
In view of the power supply structure mainly based on coal power in China, power generation is the main process of fossil energy consumption. Therefore, there is a very urgent real need to develop environmental protection in the power industry. Aiming at the problem that the power production affects the quality of the atmospheric environment, the existing environmental economic dispatching method measures the influence of the power production on the atmospheric environment by adopting the total emission amount of coal-electricity pollutants, obtains the environmental punishment cost by punishing and charging the total emission amount of the pollutants and brings the environmental punishment cost into a target function, or establishes an environmental economic dispatching model by considering multi-objective optimization consisting of the total emission amount and the operation cost. However, the quality of the atmospheric environment is related on the one hand to the total amount of pollutant emissions, and more precisely to the concentration of pollutants in the atmosphere, which is directly related to the diffusion capacity of the atmosphere for pollutants. Therefore, it is necessary to further consider the spatio-temporal distribution characteristics of pollutant diffusion concentrations in power generation schedules that account for environmental effects.
Therefore, how to provide an operation scheduling method which considers the time-space distribution characteristics of pollutant diffusion concentration and meets the quality constraint of the atmospheric environment is a technical problem which needs to be solved urgently at present.
Disclosure of Invention
In view of the above defects or improvement requirements of the prior art, the present invention provides a power system operation scheduling method considering the atmospheric environmental quality constraint, thereby solving the limitations of the existing power system operation scheduling method and the technical problem of the deterioration of the atmospheric environmental quality caused thereby.
In order to achieve the above object, the present invention provides a power system operation scheduling method considering atmospheric environment quality constraints, including:
the method comprises the steps of taking a coal-electricity unit as a pollutant discharge point source, selecting a load center as a sampling point, obtaining corresponding diffusion parameters through a Passell-Gifford-Turner diffusion curve and establishing a coal-fired pollutant diffusion model adaptive to power generation dispatching of an electric power system according to the diffusion parameters based on a Gaussian smoke plume diffusion model of a continuous overhead point source, wherein the coal-fired pollutant diffusion model represents the concentration of pollutant items generated by coal-fired power generation at different spatial positions;
establishing atmospheric environment quality constraint based on the coal-fired pollutant diffusion model and by referring to average concentration limit values of different pollutant items in the national environmental air quality standard at preset time;
and establishing a power system operation scheduling model considering the atmospheric environment quality constraint based on the atmospheric environment quality constraint, and performing power scheduling by using the power system operation scheduling model, wherein the power system operation scheduling model takes the minimized power system operation cost as an objective function.
Preferably, the gaussian plume diffusion model is:wherein, the x axial direction is the average wind direction and points to the downwind direction; taking a transverse wind direction in the y-axis direction; taking the z-axis direction as the vertical direction; c (x, y, z) is the coal-fired pollutant concentration at the sampling point; (x, y, z) is the coordinate of the sampling point in the smoke plume diffusion coordinate system; q is the mass of the pollutant discharged in unit time; v is the average wind speed; h is the effective source height; sigmayAs a parameter of transverse atmospheric diffusion,. sigmazIs a vertical atmospheric diffusion parameter.
Preferably, the establishing of the coal-fired pollutant diffusion model adapting to the power generation scheduling of the power system comprises:
based on the Gaussian smoke plume diffusion model, a coal-electricity unit is taken as a pollutant discharge point source, a load center is selected as a sampling point, corresponding diffusion parameters are obtained through a Passell-Gifford-Turner diffusion curve, and then the 10-minute average concentration of the coal-electricity pollutants on the ground of the load center is obtained through the diffusion parameters:wherein, t10Represents the sampling interval, 10 minutes; c (g, d, t)10) The average value of the concentration of the pollutants caused by the coal-electric machine set g at the load d in the sampling time period is 10 minutes;andrespectively are horizontal atmospheric diffusion parameters and vertical atmospheric diffusion parameters in a sampling time period;the emission source of the coal-electric machine set g in the sampling time period is strong;is the average wind speed over the sampling period;the distance between the load d and the coal-electric machine set g in the transverse wind direction in the sampling time period; hgThe effective source of the coal-electricity unit g is high;
byCorrecting for the 10 minute average concentration of the coal electric contaminant to obtain an average concentration of m hours over each study period, wherein Qg(Pg,t)=αgPg,t 2+βgPg,t+γgT is a scheduling period; delta t is a time interval, and m hours are taken; c (g, d, t) is the average value of the concentration of pollutants brought by the coal electric unit g at the load d in m hours in a period t; a is a correction index; kg,d,tCalculating a concentration coefficient of atmospheric pollution caused by the coal-electric unit g at the load d in the t period; pg,tThe active power output of the coal-electric unit g is t time period; alpha is alphag,βgAnd gammagIs the discharge parameter of the unit g.
Preferably, the atmospheric environmental quality constraint is:wherein N isTThe number of scheduling time periods; n is a radical ofGThe number of sets in the system;for contamination at load in NTUpper limit of average concentration in hours.
Preferably, the establishing a power system operation scheduling model considering the atmospheric environmental quality constraint based on the atmospheric environmental quality constraint includes:
a power system operation scheduling model taking into account the atmospheric environmental quality constraintsMinimizing an operating cost of the power system to an objective function, wherein the objective function isSg,tThe starting cost of the unit g in the time period t is calculated; a isg,bgAnd cgIs the fuel cost coefficient of the unit g.
Preferably, the constraints of the power system operation scheduling model include: the method comprises the following steps of system power balance constraint, line transmission capacity constraint, unit operation constraint and atmospheric environment quality constraint, wherein the unit operation constraint comprises the following steps: minimum start-stop constraints, maximum minimum output constraints and hill climbing constraints.
Generally, compared with the prior art, the technical scheme of the invention can effectively improve the atmospheric environmental pollution caused by power supply, thereby realizing the synergistic development of power energy and ecological environment.
Drawings
Fig. 1 is a schematic flowchart of an electric power system operation scheduling method considering atmospheric environmental quality constraints according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a Gaussian plume diffusion coordinate system provided by an embodiment of the present invention;
FIG. 3 is a graph illustrating load prediction according to an embodiment of the present invention;
FIG. 4 is a diagram illustrating a scheduling result of a scene generator set according to an embodiment of the present invention;
fig. 5 is a diagram of a scheduling result of a scene two-generator set according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
Fig. 1 is a schematic flowchart of an operation scheduling method of an electric power system considering atmospheric environmental quality constraints according to an embodiment of the present invention, where the method shown in fig. 1 includes the following steps:
s1: establishing a continuous overhead point source Gaussian plume diffusion model;
as shown in fig. 2, in step S1, the continuous overhead point source gaussian plume diffusion model in the bounded case is:
wherein, the x axial direction is the average wind direction and points to the downwind direction; taking a transverse wind direction in the y-axis direction; taking the z-axis direction as the vertical direction; c (x, y, z) is the coal-fired pollutant concentration at the sampling point; (x, y, z) is the coordinate of the sampling point in the smoke plume diffusion coordinate system; q is strong source, namely the mass of pollutants discharged in unit time; v is the average wind speed; h is effective source height, including chimney height HsAnd the lifting height delta H of the smoke plume, H ═ Hs+Δh;σyAnd σzThe diffusion parameters are transverse atmospheric diffusion parameters and vertical atmospheric diffusion parameters, are determined by factors such as atmospheric stability, the distance between a sampling point and the downwind direction of a source and the like, are measures of the diffusion range of the smoke plume in the y direction and the z direction, and can be obtained through a Passell-Gifford-Turner (PGT) diffusion curve.
S2: correcting based on the Gaussian smoke plume diffusion model provided in the step S1, and establishing a coal-fired pollutant diffusion model suitable for power generation scheduling of the power system;
in step S2, the coal-fired pollutant diffusion model adapted to the power generation schedule of the power system is established as follows:
s2.1: due to the continuity of the power supply, the electrical pollutant emissions may be seen as coming from an elevated point source of continuous emissions. By taking a Gaussian plume model as a reference, a coal-electric machine set is taken as a pollutant discharge point source, a load center is selected as a sampling point, and after factors such as atmospheric stability, source-load relative position and the like are determined, a corresponding diffusion parameter can be obtained through a Passell-Gifford-Turner (PGT) diffusion curve, wherein the sampling time period corresponding to the parameter is 10 minutes. Thus, the 10 minute average concentration of coal-electricity contaminants at the surface of the load center is:
wherein, t10Represents the sampling interval, 10 minutes; c (g, d, t)10) The average value of the concentration of the pollutants caused by the coal-electric machine set g at the load d in the sampling time period is 10 minutes;andrespectively are horizontal atmospheric diffusion parameters and vertical atmospheric diffusion parameters in a sampling time period;the emission source of the coal-electric machine set g in the sampling time period is strong;is the average wind speed over the sampling period;the distance between the load d and the coal-electric machine set g in the transverse wind direction in the sampling time period; hgIs an effective source of the coal-electricity unit g.
S2.2: because the invention focuses on the day-ahead power generation optimization scheduling considering the diffusion of coal-electricity pollutants, the research time interval is taken as m hours, wherein m can be determined according to actual needs, and is preferably 1 hour. Therefore, a 10 minute average concentration of coal-electric contaminants was corrected to obtain an m hour average concentration over each study period. The correction formula is as follows:
Qg(Pg,t)=αgPg,t 2+βgPg,t+γg (4)
wherein t is a scheduling time period; delta t is a time interval, and m hours are taken; c (g, d, t) is the average value of the concentration of pollutants brought by the coal electric unit g at the load d in m hours in a period t; a is a correction index; kg,d,tCalculating a concentration coefficient of atmospheric pollution caused by the coal-electric unit g at the load d in the t period; pg,tThe active power output of the coal-electric unit g is t time period; alpha is alphag,βgAnd gammagIs the discharge parameter of the unit g.
S3: based on the coal-fired pollutant diffusion model adaptive to power generation scheduling of the power system, which is provided in step S2, an atmospheric environment quality constraint is established with reference to n-hour average concentration limit values for different pollutant items in the national environmental air quality standard (GB 3095-2012), wherein n is a preset value, and can be determined according to actual needs, preferably selected for 24 hours;
in step S3, the atmospheric environmental quality constraint is as follows:
wherein N isTTaking n hours for the number of the scheduling time segments; n is a radical ofGThe number of sets in the system;as a contaminant N at the loadTUpper limit of hour-average concentration.
S4: based on the atmospheric environmental quality constraint established in step S3, a power system operation scheduling model is proposed that takes into account the atmospheric environmental quality constraint.
In step S4, the power system operation scheduling model considering the atmospheric environmental quality constraint is established as follows:
s4.1: the power system operation scheduling model considering the atmospheric environment quality constraint takes minimizing the power system operation cost as an objective function:
wherein S isg,tThe starting cost of the unit g in the time period t is calculated; a isg,bgAnd cgIs the fuel cost coefficient of the unit g.
S4.2: the constraint conditions of the power system operation scheduling model considering the atmospheric environment quality constraint comprise a system power balance constraint, a line transmission capacity constraint, a unit operation constraint and the atmospheric environment quality constraint. The unit operation constraints further include: minimum start-stop constraints, maximum minimum output constraints and hill climbing constraints.
Specifically, the system power balance constraint is:
wherein N isDIs the load number; l isd,tIs the load value of the load d in the time period t.
Specifically, the line transmission capacity constraint is:
wherein, T is a power transmission distribution coefficient matrix;an injection power column vector of a time period t system;andFrespectively the column vectors of the upper and lower limits of the transmission capacity of the line.
Specifically, the minimum start-up and shut-down constraints of the unit are as follows:
wherein u isg,tStarting and stopping the unit g at a time t, wherein 1 represents starting and 0 represents stopping;andrespectively the minimum on and off durations of the unit g.
Specifically, the maximum and minimum output constraints of the unit are as follows:
wherein the content of the first and second substances,andthe upper limit and the lower limit of the g active power output of the unit are respectively.
Specifically, the unit climbing constraint is:
wherein the content of the first and second substances,andthe up and down climbing rates of the unit g are respectively. The ramp restriction limits the unit output to a minimum technical output value in the first hour after starting up and the last hour before stopping.
Specifically, the atmospheric environmental quality constraints are:
in order to verify the effectiveness of the power system operation scheduling method considering the atmospheric environment quality constraint, the IEEE RTS 14 node system is used as an embodiment, that is, a load prediction curve is shown in fig. 3, generator set parameters are shown in table 1, and a CPLEX solver is used to write and solve.
TABLE 1 Generator set parameters
Machine set | 1 | 2 | 3 | 4 | 5 |
Type of unit | Coal power | Coal power | Coal power | Gas combustion | Gas combustion |
Maximum output (MW) | 250 | 200 | 200 | 100 | 100 |
Minimum force (MW) | 100 | 100 | 100 | 10 | 10 |
Up and down ramp rate (MW/h) | 125 | 100 | 100 | 50 | 50 |
Minimum boot time (h) | 4 | 4 | 3 | 1 | 1 |
Minimum down time (h) | 4 | 4 | 2 | 1 | 1 |
Start stop cost ($) | 180 | 330 | 450 | 0 | 0 |
Coefficient of fuel cost ag($/MW2) | 0.0045 | 0.004 | 0.004 | 0.005 | 0.005 |
Coefficient of fuel cost bg($/MW) | 13.5 | 12 | 12 | 16.5 | 16.5 |
Coefficient of fuel cost cg($) | 175 | 155 | 155 | 130 | 130 |
Emission parameter alphag(g/MW2·s) | 0.006 | 0.0065 | 0.006 | 0 | 0 |
Emission parameter betag(g/MW·s) | 0.45 | 0.55 | 0.5 | 0 | 0 |
Emission parameter gammag(g/s) | 24 | 65 | 55 | 0 | 0 |
Two scenarios are introduced:
scene one: scheduling scenarios that do not take into account atmospheric environmental quality constraints. And the output of each generator set is arranged only by adopting a traditional operation scheduling model.
Scene two: the power generation scheduling is carried out by adopting the power system operation scheduling method considering the atmospheric environment quality constraint.
Example results: the generator set scheduling result in the scenario one is shown in fig. 4, and the generator set scheduling result in the scenario two is shown in fig. 5. As can be seen from fig. 4, in the scene, the gas turbine plants 4 and 5 are generally operated at the time of each load spike, due to the high fuel cost of the gas turbine plants, and are shut down for the rest of the time; in addition, the coal electric machine set 1 with higher fuel cost is shut down in the load valley period of 3: 00-6: 00. As can be seen from FIG. 5, in the second scenario, the scheduling scheme is to meet the quality constraint of the atmospheric environment, and the largest coal-electric power unit 2 is shut down in the load valley period of 4: 00-9: 00; and the output of the coal-electric unit in the dispatching period is reduced, and the output of the zero-emission gas unit is increased to meet the load requirement. Therefore, the power system operation scheduling method considering the atmospheric environmental quality constraint can realize effective control of pollutant concentration brought by power production through coordinated power generation among different units, so that the coordinated development of power consumption and environmental quality is achieved. The simulation result fully illustrates the effectiveness of the method of the invention.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (4)
1. An electric power system operation scheduling method considering atmospheric environment quality constraints is characterized by comprising the following steps:
the method comprises the steps of taking a coal-electricity unit as a pollutant discharge point source, selecting a load center as a sampling point, obtaining corresponding diffusion parameters through a Passell-Gifford-Turner diffusion curve and establishing a coal-fired pollutant diffusion model adaptive to power generation dispatching of an electric power system according to the diffusion parameters based on a Gaussian smoke plume diffusion model of a continuous overhead point source, wherein the coal-fired pollutant diffusion model represents the concentration of pollutant items generated by coal-fired power generation at different spatial positions;
establishing atmospheric environment quality constraint based on the coal-fired pollutant diffusion model and by referring to average concentration limit values of different pollutant items in the national environmental air quality standard at preset time; the atmospheric environmental quality constraints are:wherein N isTThe number of scheduling time periods; n is a radical ofGThe number of sets in the system;for contamination at load in NTUpper limit of average concentration in hours; c (g, d, t) is an average value of the pollutant concentration brought by the coal electric unit g at the load d in m hours in a period of t, and m is 1; t is a scheduling period;
based on the atmospheric environment quality constraint, establishing a power system operation scheduling model considering the atmospheric environment quality constraint, and performing power scheduling by the power system operation scheduling model, wherein the power system operation scheduling model takes the minimized power system operation cost as an objective function;
the method for establishing the coal-fired pollutant diffusion model suitable for power generation scheduling of the power system comprises the following steps of:
based on the Gaussian smoke plume diffusion model, a coal-electricity unit is taken as a pollutant discharge point source, a load center is selected as a sampling point, corresponding diffusion parameters are obtained through a Passell-Gifford-Turner diffusion curve, and then the 10-minute average concentration of the coal-electricity pollutants on the ground of the load center is obtained through the diffusion parameters:wherein, t10Represents the sampling interval, 10 minutes; c (g, d, t)10) The average value of the concentration of the pollutants caused by the coal-electric machine set g at the load d in the sampling time period is 10 minutes;andrespectively are horizontal atmospheric diffusion parameters and vertical atmospheric diffusion parameters in a sampling time period;the emission source of the coal-electric machine set g in the sampling time period is strong;is the average wind speed over the sampling period;the distance between the load d and the coal-electric machine set g in the transverse wind direction in the sampling time period; hgThe effective source of the coal-electricity unit g is high;
byCorrecting for the 10 minute average concentration of the coal electric contaminant to obtain an average concentration of m hours over each study period, wherein Qg(Pg,t)=αgPg,t 2+βgPg,t+γgT is a scheduling period; delta t is a time interval, and m hours are taken; c (g, d, t) is the average value of the concentration of pollutants brought by the coal electric unit g at the load d in m hours in a period t; a is a correction index; kg,d,tCalculating a concentration coefficient of atmospheric pollution caused by the coal-electric unit g at the load d in the t period; pg,tThe active power output of the coal-electric unit g is t time period; alpha is alphag,βgAnd gammagIs the discharge parameter of the unit g.
2. The method of claim 1, wherein the gaussian plume diffusion model is:wherein, the x axial direction is the average wind direction and points to the downwind direction; taking a transverse wind direction in the y-axis direction; taking the z-axis direction as the vertical direction; c (x, y, z) is the coal-fired pollutant concentration at the sampling point; (x, y, z) is the coordinate of the sampling point in the smoke plume diffusion coordinate system; q is the mass of the pollutant discharged in unit time; v is the average wind speed; h is the effective source height; sigmayAs a parameter of transverse atmospheric diffusion,. sigmazIs a vertical atmospheric diffusion parameter.
3. The method of claim 1, wherein establishing a power system operation scheduling model that takes into account atmospheric environmental quality constraints based on the atmospheric environmental quality constraints comprises:
a power system operation scheduling model considering the atmospheric environmental quality constraint to minimize a power system operation cost as an objective function, wherein the objective function isSg,tThe starting cost of the unit g in the time period t is calculated; a isg,bgAnd cgIs the fuel cost coefficient of the unit g.
4. The method of claim 3, wherein the constraints of the power system operation scheduling model comprise: the method comprises the following steps of system power balance constraint, line transmission capacity constraint, unit operation constraint and atmospheric environment quality constraint, wherein the unit operation constraint comprises the following steps: minimum start-stop constraints, maximum minimum output constraints and hill climbing constraints.
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